Question

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with μ = 90 km/hr and a standard deviation of σ = 9.2 km/hr. Approximately 86.21% of the population has a speed of at most 100 km/hr.

true

or

false

Answer #1

TOPIC:Normal distribution.

Refer to speeds at which cars pass through a checkpoint on the
highway. Assume the speeds are normally distributed with a
population mean of 61 miles per hour and a population standard
deviation of 4 miles per hour. Calculate the probability that the
next car passing will be travelling more than 58 miles per
hour.

Thank you in advance!
The District of Columbia Police Department are gathering highway
speed data along a section of the Capital Beltway to determine if
the current speed limit is being followed. A radar speed detection
device is used to measure the speeds of cars on the expressway. The
speeds are normally distributed. The speed gun captures the speed
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quantifiable and measured by the standard deviation of the sample
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The speeds of vehicles on a highway with speed limit 90 km/h are
normally distributed with mean 102 km/h and standard deviation 10
km/h. (Round your answers to two decimal places.)
(a) What is the probability that a randomly chosen vehicle is
traveling at a legal speed?
(b) If police are instructed to ticket motorists driving 110
km/h or more, what percentage of motorist are targeted?

The speeds of vehicles on a highway with speed limit 90 km/h are
normally distributed with mean 101 km/h and standard deviation 6
km/h. (Round your answers to two decimal places.)
(a) What is the probability that a randomly chosen vehicle is
traveling at a legal speed?
(b) If police are instructed to ticket motorists driving 115
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The following table show the qualifying speeds of race cars at
the Indianapolis 500.
Speed (mph)
Number of Cars
210 - 215
8
216 - 221
15
222 - 227
32
228 - 233
40
234 - 239
9
Calculate the weighted population standard deviation for this
distribution. Round your answer to the nearest hundredth's place
and do not indicate units of measure.

A couple of cyclists are racing down a path in adjacent and
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normally distributed.
a) After 2 hours of cycling, what is the probability that the
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A population is normally distributed with mean μ = 100 and
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Two airplanes are flying in the same direction in adjacent
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